"I covet for you / a better tomorrow" is a little weak, because to covet means to envy someone's possessions... maybe something like "I wish for you" or "I hope life brings / a better tomorrow"?
Also, "I think about / how you do feign" is somewhat convoluted, because what is the person feigning? Competence, normalcy, happiness? Maybe a better rhyme would be "pain" or "stain" - there's lots and lots of words that do.
I may be mistaken, but I also thought covet could mean to desire or yearn for! I was trying to express the feigning of the tears by standing in the rain,,. But you are right, changing it might be my best optipn to make a clearer image!